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230376960000 = 212345411101
BaseRepresentation
bin1101011010001110001…
…0010111000000000000
3211000122100220010210000
43112203202113000000
512233303000210000
6253500025440000
722433645564415
oct3264342270000
9730570803700
10230376960000
118977a873920
1238794940000
1318955819815
14b21661410c
155ed5210000
hex35a3897000

230376960000 has 1300 divisors, whose sum is σ = 947446613784. Its totient is φ = 55296000000.

The previous prime is 230376959993. The next prime is 230376960031. The reversal of 230376960000 is 69673032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2280959950 + ... + 2280960050.

Almost surely, 2230376960000 is an apocalyptic number.

230376960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230376960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473723306892).

230376960000 is an abundant number, since it is smaller than the sum of its proper divisors (717069653784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230376960000 is an equidigital number, since it uses as much as digits as its factorization.

230376960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 230376960000 in words is "two hundred thirty billion, three hundred seventy-six million, nine hundred sixty thousand".